CBSE Class 11 - Mathematics - Limits and Derivatives Part-7
Derivatives Using First Principle
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Derivatives Using First Principle
Author: Selma Lagerlöf
About the author:
Selma Ottilia Lovisa Lagerlöf 20 November 1858 – 16 March 1940) was a Swedish author and teacher. She published her first novel, Gösta Berling's Saga, at the age of 33. She was the first woman to win the Nobel Prize in Literature, which she was awarded in 1909. Additionally, she was the first woman to be granted membership in The Swedish Academy in 1914.
Q1: What message does the story 'The Rattrap' convey?
Answer: Essential goodness in a human being can be awakened through understanding and love.
Q2: Justify the title 'The Rattrap'.
Book: Resource and Development
Q1: What is agriculture?
Answer: Agriculture is a primary activity that includes growing crops, vegetables, fruits, flowers and rearing livestock. It is connected with the extraction and production of natural resources.
Q2: Give a one-word definition to the following 'cultures'.
(a) Raising crops and rearing livestock.
(b) Rearing of silkworms and silk production.
(c) Breeding of fish.
(d) Cultivation of grapes.
(e) Growing vegetables, flowers and fruits.
Q1: 2 Newton-metre is how many joules?
Answer: ∵ 1 Nm = 1J ∴ 2Nm = 2J
Q2: In the CGS system, what is the unit for Work?
Answer: erg
Book: Hornbill
Poet: Walt Whitman
Q1: What is all about the poem "The Voice of the Rain"? Write in short.
Answer: ‘The Voice of the Rain’ is an imaginary dialogue between the poet and the rain. The poet casually asks the rain who it is. To his surprise, the rain answers the question and tells about its birth and end. The poet understands the tale of rain and translates it for the readers.
Fill in the blanks with suitable words. Take words from the list given below.
atmosphere, aquatic, breathing, cylinders, direction, evaporation, humidity, masks, mixture, pressure, space, wind
1. The blanket of air that surrounds the earth is called __________.
2. Air is a ______ of some gases.
Q1: What is the derivative of a function at a point?
Answer: Let y = f(x) is a continuous function. It means the value of y changes as the value of x changes.
At x = a, is a point in its domain of definittion. The derivative of f at a is defines as:
Fill in the blanks with suitable words.
1. The First World War was started in year ______ and ended in year ______.
2. In 1919, an act was passed by Imperial Legislative Council without the support of Indian members. The Act gave enormous powers to the government to repress political activities and allowed the detention of political prisoners without trial for two years. We are talking about ________ act.
Let us revisit the basic terminology used in probability.
Q1: Define probability. What can the probability never predict?
Answer: Probability gives us a measure of the likelihood that something will happen. However, probability can never predict the number of times that an occurrence actually happens.
Q2: Define experiment.
Answer: An action or operation resulting in two or more well-defined outcomes.
e.g. tossing a coin, throwing a die, drawing a card from a pack of well-shuffled playing cards etc.
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